Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
- URL: http://arxiv.org/abs/2006.13529v2
- Date: Wed, 1 Jul 2020 11:18:56 GMT
- Title: Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
- Authors: Oliver K\"astle and Ying Hu and Alexander Carmele
- Abstract summary: We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing.
We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
- Score: 72.46695228124449
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the dynamical interplay between topological state of matter
and a non-Markovian dissipation, which gives rise to a new and crucial time
scale into the system dynamics due to its quantum memory. We specifically study
a one-dimensional polaronic topological superconductor with phonon-dressed
$p$-wave pairing, when a fast temperature increase in surrounding phonons
induces an open-system dynamics. We show that when the memory depth increases,
the Majorana edge dynamics transits from relaxing monotonically to a plateau of
substantial value into a collapse-and-buildup behavior, even when the polaron
Hamiltonian is close to the topological phase boundary. Above a critical memory
depth, the system can approach a new dressed state of topological
superconductor in dynamical equilibrium with phonons, with nearly full buildup
of Majorana correlation.
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